7832604004 has 81 divisors (see below), whose sum is σ = 15480465483. Its totient is φ = 3466446336.

The previous prime is 7832604001. The next prime is 7832604029. The reversal of 7832604004 is 4004062387.

The square root of 7832604004 is 88502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1095477604 + 6737126400 = 33098^2 + 82080^2 .

It is a super-2 number, since 2×7832604004² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7832604001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57172224 + ... + 57172360.

Almost surely, 2^7832604004 is an apocalyptic number.

7832604004 is the 88502-nd square number.

It is an amenable number.

7832604004 is a deficient number, since it is larger than the sum of its proper divisors (7647861479).

7832604004 is a wasteful number, since it uses less digits than its factorization.

7832604004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The cubic root of 7832604004 is about 1985.9518900016.

The spelling of 7832604004 in words is "seven billion, eight hundred thirty-two million, six hundred four thousand, four".